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Finding the Fourth Proportional to 49,616.80, 74,338.80 and 42,704.80

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Solution

The fourth proportional to 49,616.80, 74,338.80 and 42,704.80 is: 63,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,616.80 : 74,338.80 = 42,704.80 : x
  2. Step 2: Convert to fraction form
    49,616.80/74,338.80 = 42,704.80/x
  3. Step 3: Cross multiply
    49,616.80x = 74,338.80 × 42,704.80
  4. Step 4: Simplify right side
    49,616.80x = 3,174,623,586.24
  5. Step 5: Solve for x
    x = 3,174,623,586.24/49,616.80
  6. Step 6: Final answer
    x = 63,982.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.